TSTP Solution File: SWC367+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWC367+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:13:21 EDT 2023
% Result : Theorem 11.82s 11.75s
% Output : Proof 11.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC367+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 01:28:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 11.82/11.75
% 11.82/11.75 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 11.82/11.75 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.82/11.75 %-----------------------------------------------------
% 11.82/11.75 ncf(matrix, plain, [(1978 ^ _232055) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _232055) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _232055) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _232055) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _232055) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _232055) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _232055) ^ [] : [rearsegP(1979 ^ [], 1976 ^ [])], (1995 ^ _232055) ^ [] : [1996 ^ _232055 : [(1997 ^ _232055) ^ [] : [-(nil = 1985 ^ [])], (1999 ^ _232055) ^ [] : [-(nil = 1982 ^ [])]], 2000 ^ _232055 : [(2001 ^ _232055) ^ [] : [-(neq(1982 ^ [], nil))], (2003 ^ _232055) ^ [] : [-(rearsegP(1985 ^ [], 1982 ^ []))]]], (246 ^ _232055) ^ [_239859, _239861, _239863, _239865] : [-(cons(_239865, _239861) = cons(_239863, _239859)), _239865 = _239863, _239861 = _239859], (256 ^ _232055) ^ [_240190, _240192] : [_240192 = _240190, -(hd(_240192) = hd(_240190))], (272 ^ _232055) ^ [_240747, _240749] : [_240749 = _240747, -(tl(_240749) = tl(_240747))], (262 ^ _232055) ^ [_240436, _240438, _240440, _240442] : [-(app(_240442, _240438) = app(_240440, _240436)), _240442 = _240440, _240438 = _240436], (2 ^ _232055) ^ [_232199] : [-(_232199 = _232199)], (4 ^ _232055) ^ [_232306, _232308] : [_232308 = _232306, -(_232306 = _232308)], (10 ^ _232055) ^ [_232510, _232512, _232514] : [-(_232514 = _232510), _232514 = _232512, _232512 = _232510], (20 ^ _232055) ^ [_232851, _232853, _232855, _232857] : [-(memberP(_232855, _232851)), memberP(_232857, _232853), _232857 = _232855, _232853 = _232851], (34 ^ _232055) ^ [_233267, _233269] : [-(singletonP(_233267)), _233269 = _233267, singletonP(_233269)], (44 ^ _232055) ^ [_233590, _233592, _233594, _233596] : [-(frontsegP(_233594, _233590)), frontsegP(_233596, _233592), _233596 = _233594, _233592 = _233590], (58 ^ _232055) ^ [_234034, _234036, _234038, _234040] : [-(segmentP(_234038, _234034)), segmentP(_234040, _234036), _234040 = _234038, _234036 = _234034], (72 ^ _232055) ^ [_234450, _234452] : [-(cyclefreeP(_234450)), _234452 = _234450, cyclefreeP(_234452)], (82 ^ _232055) ^ [_234745, _234747] : [-(totalorderP(_234745)), _234747 = _234745, totalorderP(_234747)], (92 ^ _232055) ^ [_235040, _235042] : [-(strictorderP(_235040)), _235042 = _235040, strictorderP(_235042)], (102 ^ _232055) ^ [_235335, _235337] : [-(totalorderedP(_235335)), _235337 = _235335, totalorderedP(_235337)], (112 ^ _232055) ^ [_235630, _235632] : [-(strictorderedP(_235630)), _235632 = _235630, strictorderedP(_235632)], (122 ^ _232055) ^ [_235925, _235927] : [-(duplicatefreeP(_235925)), _235927 = _235925, duplicatefreeP(_235927)], (132 ^ _232055) ^ [_236220, _236222] : [-(equalelemsP(_236220)), _236222 = _236220, equalelemsP(_236222)], (142 ^ _232055) ^ [_236543, _236545, _236547, _236549] : [-(geq(_236547, _236543)), geq(_236549, _236545), _236549 = _236547, _236545 = _236543], (156 ^ _232055) ^ [_236987, _236989, _236991, _236993] : [-(lt(_236991, _236987)), lt(_236993, _236989), _236993 = _236991, _236989 = _236987], (170 ^ _232055) ^ [_237431, _237433, _237435, _237437] : [-(leq(_237435, _237431)), leq(_237437, _237433), _237437 = _237435, _237433 = _237431], (184 ^ _232055) ^ [_237847, _237849] : [-(ssItem(_237847)), _237849 = _237847, ssItem(_237849)], (194 ^ _232055) ^ [_238170, _238172, _238174, _238176] : [-(gt(_238174, _238170)), gt(_238176, _238172), _238176 = _238174, _238172 = _238170], (208 ^ _232055) ^ [_238586, _238588] : [-(ssList(_238586)), _238588 = _238586, ssList(_238588)], (218 ^ _232055) ^ [_238909, _238911, _238913, _238915] : [-(neq(_238913, _238909)), neq(_238915, _238911), _238915 = _238913, _238911 = _238909], (232 ^ _232055) ^ [_239333, _239335, _239337, _239339] : [-(rearsegP(_239337, _239333)), rearsegP(_239339, _239335), _239339 = _239337, _239335 = _239333], (278 ^ _232055) ^ [_240969] : [ssItem(_240969), 281 ^ _232055 : [(282 ^ _232055) ^ [_241107] : [ssItem(_241107), 285 ^ _232055 : [(286 ^ _232055) ^ [] : [neq(_240969, _241107), _240969 = _241107], (292 ^ _232055) ^ [] : [-(_240969 = _241107), -(neq(_240969, _241107))]]]]], (299 ^ _232055) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _232055) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _232055) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _232055) ^ [_241820] : [ssList(_241820), 309 ^ _232055 : [(310 ^ _232055) ^ [_241982] : [ssItem(_241982), 313 ^ _232055 : [(314 ^ _232055) ^ [] : [memberP(_241820, _241982), 318 ^ _232055 : [(319 ^ _232055) ^ [] : [-(ssList(317 ^ [_241820, _241982]))], (322 ^ _232055) ^ [] : [-(ssList(320 ^ [_241820, _241982]))], (324 ^ _232055) ^ [] : [-(app(317 ^ [_241820, _241982], cons(_241982, 320 ^ [_241820, _241982])) = _241820)]]], (326 ^ _232055) ^ [] : [-(memberP(_241820, _241982)), 327 ^ _232055 : [(328 ^ _232055) ^ [_242630] : [ssList(_242630), 331 ^ _232055 : [(332 ^ _232055) ^ [_242778] : [ssList(_242778), app(_242630, cons(_241982, _242778)) = _241820]]]]]]]]], (340 ^ _232055) ^ [_243069] : [ssList(_243069), 343 ^ _232055 : [(344 ^ _232055) ^ [] : [singletonP(_243069), 348 ^ _232055 : [(349 ^ _232055) ^ [] : [-(ssItem(347 ^ [_243069]))], (351 ^ _232055) ^ [] : [-(cons(347 ^ [_243069], nil) = _243069)]]], (353 ^ _232055) ^ [] : [-(singletonP(_243069)), 354 ^ _232055 : [(355 ^ _232055) ^ [_243518] : [ssItem(_243518), cons(_243518, nil) = _243069]]]]], (363 ^ _232055) ^ [_243774] : [ssList(_243774), 366 ^ _232055 : [(367 ^ _232055) ^ [_243923] : [ssList(_243923), 370 ^ _232055 : [(371 ^ _232055) ^ [] : [frontsegP(_243774, _243923), 375 ^ _232055 : [(376 ^ _232055) ^ [] : [-(ssList(374 ^ [_243774, _243923]))], (378 ^ _232055) ^ [] : [-(app(_243923, 374 ^ [_243774, _243923]) = _243774)]]], (380 ^ _232055) ^ [] : [-(frontsegP(_243774, _243923)), 381 ^ _232055 : [(382 ^ _232055) ^ [_244398] : [ssList(_244398), app(_243923, _244398) = _243774]]]]]]], (390 ^ _232055) ^ [_244670] : [ssList(_244670), 393 ^ _232055 : [(394 ^ _232055) ^ [_244819] : [ssList(_244819), 397 ^ _232055 : [(398 ^ _232055) ^ [] : [rearsegP(_244670, _244819), 402 ^ _232055 : [(403 ^ _232055) ^ [] : [-(ssList(401 ^ [_244670, _244819]))], (405 ^ _232055) ^ [] : [-(app(401 ^ [_244670, _244819], _244819) = _244670)]]], (407 ^ _232055) ^ [] : [-(rearsegP(_244670, _244819)), 408 ^ _232055 : [(409 ^ _232055) ^ [_245294] : [ssList(_245294), app(_245294, _244819) = _244670]]]]]]], (417 ^ _232055) ^ [_245566] : [ssList(_245566), 420 ^ _232055 : [(421 ^ _232055) ^ [_245728] : [ssList(_245728), 424 ^ _232055 : [(425 ^ _232055) ^ [] : [segmentP(_245566, _245728), 429 ^ _232055 : [(430 ^ _232055) ^ [] : [-(ssList(428 ^ [_245566, _245728]))], (433 ^ _232055) ^ [] : [-(ssList(431 ^ [_245566, _245728]))], (435 ^ _232055) ^ [] : [-(app(app(428 ^ [_245566, _245728], _245728), 431 ^ [_245566, _245728]) = _245566)]]], (437 ^ _232055) ^ [] : [-(segmentP(_245566, _245728)), 438 ^ _232055 : [(439 ^ _232055) ^ [_246376] : [ssList(_246376), 442 ^ _232055 : [(443 ^ _232055) ^ [_246524] : [ssList(_246524), app(app(_246376, _245728), _246524) = _245566]]]]]]]]], (451 ^ _232055) ^ [_246815] : [ssList(_246815), 454 ^ _232055 : [(489 ^ _232055) ^ [] : [491 ^ _232055 : [(492 ^ _232055) ^ [] : [-(ssItem(490 ^ [_246815]))], (495 ^ _232055) ^ [] : [-(ssItem(493 ^ [_246815]))], (498 ^ _232055) ^ [] : [-(ssList(496 ^ [_246815]))], (501 ^ _232055) ^ [] : [-(ssList(499 ^ [_246815]))], (504 ^ _232055) ^ [] : [-(ssList(502 ^ [_246815]))], (506 ^ _232055) ^ [] : [-(app(app(496 ^ [_246815], cons(490 ^ [_246815], 499 ^ [_246815])), cons(493 ^ [_246815], 502 ^ [_246815])) = _246815)], (508 ^ _232055) ^ [] : [-(leq(490 ^ [_246815], 493 ^ [_246815]))], (510 ^ _232055) ^ [] : [-(leq(493 ^ [_246815], 490 ^ [_246815]))]], -(cyclefreeP(_246815))], (455 ^ _232055) ^ [] : [cyclefreeP(_246815), 458 ^ _232055 : [(459 ^ _232055) ^ [_247119] : [ssItem(_247119), 462 ^ _232055 : [(463 ^ _232055) ^ [_247311] : [ssItem(_247311), 466 ^ _232055 : [(467 ^ _232055) ^ [_247499] : [ssList(_247499), 470 ^ _232055 : [(471 ^ _232055) ^ [_247683] : [ssList(_247683), 474 ^ _232055 : [(475 ^ _232055) ^ [_247863] : [ssList(_247863), app(app(_247499, cons(_247119, _247683)), cons(_247311, _247863)) = _246815, leq(_247119, _247311), leq(_247311, _247119)]]]]]]]]]]]]], (514 ^ _232055) ^ [_249601] : [ssList(_249601), 517 ^ _232055 : [(552 ^ _232055) ^ [] : [554 ^ _232055 : [(555 ^ _232055) ^ [] : [-(ssItem(553 ^ [_249601]))], (558 ^ _232055) ^ [] : [-(ssItem(556 ^ [_249601]))], (561 ^ _232055) ^ [] : [-(ssList(559 ^ [_249601]))], (564 ^ _232055) ^ [] : [-(ssList(562 ^ [_249601]))], (567 ^ _232055) ^ [] : [-(ssList(565 ^ [_249601]))], (569 ^ _232055) ^ [] : [-(app(app(559 ^ [_249601], cons(553 ^ [_249601], 562 ^ [_249601])), cons(556 ^ [_249601], 565 ^ [_249601])) = _249601)], (571 ^ _232055) ^ [] : [leq(553 ^ [_249601], 556 ^ [_249601])], (573 ^ _232055) ^ [] : [leq(556 ^ [_249601], 553 ^ [_249601])]], -(totalorderP(_249601))], (518 ^ _232055) ^ [] : [totalorderP(_249601), 521 ^ _232055 : [(522 ^ _232055) ^ [_249903] : [ssItem(_249903), 525 ^ _232055 : [(526 ^ _232055) ^ [_250093] : [ssItem(_250093), 529 ^ _232055 : [(530 ^ _232055) ^ [_250279] : [ssList(_250279), 533 ^ _232055 : [(534 ^ _232055) ^ [_250461] : [ssList(_250461), 537 ^ _232055 : [(538 ^ _232055) ^ [_250639] : [ssList(_250639), app(app(_250279, cons(_249903, _250461)), cons(_250093, _250639)) = _249601, -(leq(_249903, _250093)), -(leq(_250093, _249903))]]]]]]]]]]]]], (577 ^ _232055) ^ [_252365] : [ssList(_252365), 580 ^ _232055 : [(615 ^ _232055) ^ [] : [617 ^ _232055 : [(618 ^ _232055) ^ [] : [-(ssItem(616 ^ [_252365]))], (621 ^ _232055) ^ [] : [-(ssItem(619 ^ [_252365]))], (624 ^ _232055) ^ [] : [-(ssList(622 ^ [_252365]))], (627 ^ _232055) ^ [] : [-(ssList(625 ^ [_252365]))], (630 ^ _232055) ^ [] : [-(ssList(628 ^ [_252365]))], (632 ^ _232055) ^ [] : [-(app(app(622 ^ [_252365], cons(616 ^ [_252365], 625 ^ [_252365])), cons(619 ^ [_252365], 628 ^ [_252365])) = _252365)], (634 ^ _232055) ^ [] : [lt(616 ^ [_252365], 619 ^ [_252365])], (636 ^ _232055) ^ [] : [lt(619 ^ [_252365], 616 ^ [_252365])]], -(strictorderP(_252365))], (581 ^ _232055) ^ [] : [strictorderP(_252365), 584 ^ _232055 : [(585 ^ _232055) ^ [_252667] : [ssItem(_252667), 588 ^ _232055 : [(589 ^ _232055) ^ [_252857] : [ssItem(_252857), 592 ^ _232055 : [(593 ^ _232055) ^ [_253043] : [ssList(_253043), 596 ^ _232055 : [(597 ^ _232055) ^ [_253225] : [ssList(_253225), 600 ^ _232055 : [(601 ^ _232055) ^ [_253403] : [ssList(_253403), app(app(_253043, cons(_252667, _253225)), cons(_252857, _253403)) = _252365, -(lt(_252667, _252857)), -(lt(_252857, _252667))]]]]]]]]]]]]], (640 ^ _232055) ^ [_255129] : [ssList(_255129), 643 ^ _232055 : [(674 ^ _232055) ^ [] : [676 ^ _232055 : [(677 ^ _232055) ^ [] : [-(ssItem(675 ^ [_255129]))], (680 ^ _232055) ^ [] : [-(ssItem(678 ^ [_255129]))], (683 ^ _232055) ^ [] : [-(ssList(681 ^ [_255129]))], (686 ^ _232055) ^ [] : [-(ssList(684 ^ [_255129]))], (689 ^ _232055) ^ [] : [-(ssList(687 ^ [_255129]))], (691 ^ _232055) ^ [] : [-(app(app(681 ^ [_255129], cons(675 ^ [_255129], 684 ^ [_255129])), cons(678 ^ [_255129], 687 ^ [_255129])) = _255129)], (693 ^ _232055) ^ [] : [leq(675 ^ [_255129], 678 ^ [_255129])]], -(totalorderedP(_255129))], (644 ^ _232055) ^ [] : [totalorderedP(_255129), 647 ^ _232055 : [(648 ^ _232055) ^ [_255425] : [ssItem(_255425), 651 ^ _232055 : [(652 ^ _232055) ^ [_255609] : [ssItem(_255609), 655 ^ _232055 : [(656 ^ _232055) ^ [_255789] : [ssList(_255789), 659 ^ _232055 : [(660 ^ _232055) ^ [_255965] : [ssList(_255965), 663 ^ _232055 : [(664 ^ _232055) ^ [_256137] : [ssList(_256137), app(app(_255789, cons(_255425, _255965)), cons(_255609, _256137)) = _255129, -(leq(_255425, _255609))]]]]]]]]]]]]], (697 ^ _232055) ^ [_257617] : [ssList(_257617), 700 ^ _232055 : [(731 ^ _232055) ^ [] : [733 ^ _232055 : [(734 ^ _232055) ^ [] : [-(ssItem(732 ^ [_257617]))], (737 ^ _232055) ^ [] : [-(ssItem(735 ^ [_257617]))], (740 ^ _232055) ^ [] : [-(ssList(738 ^ [_257617]))], (743 ^ _232055) ^ [] : [-(ssList(741 ^ [_257617]))], (746 ^ _232055) ^ [] : [-(ssList(744 ^ [_257617]))], (748 ^ _232055) ^ [] : [-(app(app(738 ^ [_257617], cons(732 ^ [_257617], 741 ^ [_257617])), cons(735 ^ [_257617], 744 ^ [_257617])) = _257617)], (750 ^ _232055) ^ [] : [lt(732 ^ [_257617], 735 ^ [_257617])]], -(strictorderedP(_257617))], (701 ^ _232055) ^ [] : [strictorderedP(_257617), 704 ^ _232055 : [(705 ^ _232055) ^ [_257913] : [ssItem(_257913), 708 ^ _232055 : [(709 ^ _232055) ^ [_258097] : [ssItem(_258097), 712 ^ _232055 : [(713 ^ _232055) ^ [_258277] : [ssList(_258277), 716 ^ _232055 : [(717 ^ _232055) ^ [_258453] : [ssList(_258453), 720 ^ _232055 : [(721 ^ _232055) ^ [_258625] : [ssList(_258625), app(app(_258277, cons(_257913, _258453)), cons(_258097, _258625)) = _257617, -(lt(_257913, _258097))]]]]]]]]]]]]], (754 ^ _232055) ^ [_260105] : [ssList(_260105), 757 ^ _232055 : [(788 ^ _232055) ^ [] : [790 ^ _232055 : [(791 ^ _232055) ^ [] : [-(ssItem(789 ^ [_260105]))], (794 ^ _232055) ^ [] : [-(ssItem(792 ^ [_260105]))], (797 ^ _232055) ^ [] : [-(ssList(795 ^ [_260105]))], (800 ^ _232055) ^ [] : [-(ssList(798 ^ [_260105]))], (803 ^ _232055) ^ [] : [-(ssList(801 ^ [_260105]))], (805 ^ _232055) ^ [] : [-(app(app(795 ^ [_260105], cons(789 ^ [_260105], 798 ^ [_260105])), cons(792 ^ [_260105], 801 ^ [_260105])) = _260105)], (807 ^ _232055) ^ [] : [-(789 ^ [_260105] = 792 ^ [_260105])]], -(duplicatefreeP(_260105))], (758 ^ _232055) ^ [] : [duplicatefreeP(_260105), 761 ^ _232055 : [(762 ^ _232055) ^ [_260403] : [ssItem(_260403), 765 ^ _232055 : [(766 ^ _232055) ^ [_260589] : [ssItem(_260589), 769 ^ _232055 : [(770 ^ _232055) ^ [_260771] : [ssList(_260771), 773 ^ _232055 : [(774 ^ _232055) ^ [_260949] : [ssList(_260949), 777 ^ _232055 : [(778 ^ _232055) ^ [_261123] : [ssList(_261123), app(app(_260771, cons(_260403, _260949)), cons(_260589, _261123)) = _260105, _260403 = _260589]]]]]]]]]]]]], (811 ^ _232055) ^ [_262615] : [ssList(_262615), 814 ^ _232055 : [(841 ^ _232055) ^ [] : [843 ^ _232055 : [(844 ^ _232055) ^ [] : [-(ssItem(842 ^ [_262615]))], (847 ^ _232055) ^ [] : [-(ssItem(845 ^ [_262615]))], (850 ^ _232055) ^ [] : [-(ssList(848 ^ [_262615]))], (853 ^ _232055) ^ [] : [-(ssList(851 ^ [_262615]))], (855 ^ _232055) ^ [] : [-(app(848 ^ [_262615], cons(842 ^ [_262615], cons(845 ^ [_262615], 851 ^ [_262615]))) = _262615)], (857 ^ _232055) ^ [] : [842 ^ [_262615] = 845 ^ [_262615]]], -(equalelemsP(_262615))], (815 ^ _232055) ^ [] : [equalelemsP(_262615), 818 ^ _232055 : [(819 ^ _232055) ^ [_262898] : [ssItem(_262898), 822 ^ _232055 : [(823 ^ _232055) ^ [_263069] : [ssItem(_263069), 826 ^ _232055 : [(827 ^ _232055) ^ [_263236] : [ssList(_263236), 830 ^ _232055 : [(831 ^ _232055) ^ [_263399] : [ssList(_263399), app(_263236, cons(_262898, cons(_263069, _263399))) = _262615, -(_262898 = _263069)]]]]]]]]]]], (861 ^ _232055) ^ [_264632] : [ssList(_264632), 864 ^ _232055 : [(865 ^ _232055) ^ [_264770] : [ssList(_264770), 868 ^ _232055 : [(869 ^ _232055) ^ [] : [neq(_264632, _264770), _264632 = _264770], (875 ^ _232055) ^ [] : [-(_264632 = _264770), -(neq(_264632, _264770))]]]]], (881 ^ _232055) ^ [_265223] : [ssList(_265223), 884 ^ _232055 : [(885 ^ _232055) ^ [_265355] : [ssItem(_265355), -(ssList(cons(_265355, _265223)))]]], (891 ^ _232055) ^ [] : [-(ssList(nil))], (893 ^ _232055) ^ [_265613] : [ssList(_265613), 896 ^ _232055 : [(897 ^ _232055) ^ [_265748] : [ssItem(_265748), cons(_265748, _265613) = _265613]]], (903 ^ _232055) ^ [_265956] : [ssList(_265956), 906 ^ _232055 : [(907 ^ _232055) ^ [_266124] : [ssList(_266124), 910 ^ _232055 : [(911 ^ _232055) ^ [_266288] : [ssItem(_266288), 914 ^ _232055 : [(915 ^ _232055) ^ [_266448] : [ssItem(_266448), cons(_266288, _265956) = cons(_266448, _266124), 922 ^ _232055 : [(923 ^ _232055) ^ [] : [-(_266288 = _266448)], (925 ^ _232055) ^ [] : [-(_266124 = _265956)]]]]]]]]], (927 ^ _232055) ^ [_266863] : [ssList(_266863), -(nil = _266863), 935 ^ _232055 : [(936 ^ _232055) ^ [] : [-(ssList(934 ^ [_266863]))], (939 ^ _232055) ^ [] : [-(ssItem(937 ^ [_266863]))], (941 ^ _232055) ^ [] : [-(cons(937 ^ [_266863], 934 ^ [_266863]) = _266863)]]], (943 ^ _232055) ^ [_267427] : [ssList(_267427), 946 ^ _232055 : [(947 ^ _232055) ^ [_267562] : [ssItem(_267562), nil = cons(_267562, _267427)]]], (953 ^ _232055) ^ [_267770] : [ssList(_267770), -(nil = _267770), -(ssItem(hd(_267770)))], (963 ^ _232055) ^ [_268048] : [ssList(_268048), 966 ^ _232055 : [(967 ^ _232055) ^ [_268183] : [ssItem(_268183), -(hd(cons(_268183, _268048)) = _268183)]]], (973 ^ _232055) ^ [_268394] : [ssList(_268394), -(nil = _268394), -(ssList(tl(_268394)))], (983 ^ _232055) ^ [_268672] : [ssList(_268672), 986 ^ _232055 : [(987 ^ _232055) ^ [_268807] : [ssItem(_268807), -(tl(cons(_268807, _268672)) = _268672)]]], (993 ^ _232055) ^ [_269018] : [ssList(_269018), 996 ^ _232055 : [(997 ^ _232055) ^ [_269150] : [ssList(_269150), -(ssList(app(_269018, _269150)))]]], (1003 ^ _232055) ^ [_269355] : [ssList(_269355), 1006 ^ _232055 : [(1007 ^ _232055) ^ [_269507] : [ssList(_269507), 1010 ^ _232055 : [(1011 ^ _232055) ^ [_269655] : [ssItem(_269655), -(cons(_269655, app(_269507, _269355)) = app(cons(_269655, _269507), _269355))]]]]], (1017 ^ _232055) ^ [_269893] : [ssList(_269893), -(app(nil, _269893) = _269893)], (1023 ^ _232055) ^ [_270087] : [ssItem(_270087), 1026 ^ _232055 : [(1027 ^ _232055) ^ [_270229] : [ssItem(_270229), -(_270087 = _270229), leq(_270087, _270229), leq(_270229, _270087)]]], (1041 ^ _232055) ^ [_270608] : [ssItem(_270608), 1044 ^ _232055 : [(1045 ^ _232055) ^ [_270760] : [ssItem(_270760), 1048 ^ _232055 : [(1049 ^ _232055) ^ [_270908] : [ssItem(_270908), -(leq(_270608, _270908)), leq(_270608, _270760), leq(_270760, _270908)]]]]], (1063 ^ _232055) ^ [_271308] : [ssItem(_271308), -(leq(_271308, _271308))], (1069 ^ _232055) ^ [_271496] : [ssItem(_271496), 1072 ^ _232055 : [(1073 ^ _232055) ^ [_271632] : [ssItem(_271632), 1076 ^ _232055 : [(1077 ^ _232055) ^ [] : [geq(_271496, _271632), -(leq(_271632, _271496))], (1083 ^ _232055) ^ [] : [leq(_271632, _271496), -(geq(_271496, _271632))]]]]], (1089 ^ _232055) ^ [_272083] : [ssItem(_272083), 1092 ^ _232055 : [(1093 ^ _232055) ^ [_272221] : [ssItem(_272221), lt(_272083, _272221), lt(_272221, _272083)]]], (1103 ^ _232055) ^ [_272512] : [ssItem(_272512), 1106 ^ _232055 : [(1107 ^ _232055) ^ [_272664] : [ssItem(_272664), 1110 ^ _232055 : [(1111 ^ _232055) ^ [_272812] : [ssItem(_272812), -(lt(_272512, _272812)), lt(_272512, _272664), lt(_272664, _272812)]]]]], (1125 ^ _232055) ^ [_273212] : [ssItem(_273212), 1128 ^ _232055 : [(1129 ^ _232055) ^ [_273348] : [ssItem(_273348), 1132 ^ _232055 : [(1133 ^ _232055) ^ [] : [gt(_273212, _273348), -(lt(_273348, _273212))], (1139 ^ _232055) ^ [] : [lt(_273348, _273212), -(gt(_273212, _273348))]]]]], (1145 ^ _232055) ^ [_273799] : [ssItem(_273799), 1148 ^ _232055 : [(1149 ^ _232055) ^ [_273954] : [ssList(_273954), 1152 ^ _232055 : [(1153 ^ _232055) ^ [_274105] : [ssList(_274105), 1156 ^ _232055 : [(1167 ^ _232055) ^ [] : [1168 ^ _232055 : [(1169 ^ _232055) ^ [] : [memberP(_273954, _273799)], (1171 ^ _232055) ^ [] : [memberP(_274105, _273799)]], -(memberP(app(_273954, _274105), _273799))], (1157 ^ _232055) ^ [] : [memberP(app(_273954, _274105), _273799), -(memberP(_273954, _273799)), -(memberP(_274105, _273799))]]]]]]], (1175 ^ _232055) ^ [_274752] : [ssItem(_274752), 1178 ^ _232055 : [(1179 ^ _232055) ^ [_274907] : [ssItem(_274907), 1182 ^ _232055 : [(1183 ^ _232055) ^ [_275058] : [ssList(_275058), 1186 ^ _232055 : [(1197 ^ _232055) ^ [] : [1198 ^ _232055 : [(1199 ^ _232055) ^ [] : [_274752 = _274907], (1201 ^ _232055) ^ [] : [memberP(_275058, _274752)]], -(memberP(cons(_274907, _275058), _274752))], (1187 ^ _232055) ^ [] : [memberP(cons(_274907, _275058), _274752), -(_274752 = _274907), -(memberP(_275058, _274752))]]]]]]], (1205 ^ _232055) ^ [_275705] : [ssItem(_275705), memberP(nil, _275705)], (1211 ^ _232055) ^ [] : [singletonP(nil)], (1213 ^ _232055) ^ [_275946] : [ssList(_275946), 1216 ^ _232055 : [(1217 ^ _232055) ^ [_276098] : [ssList(_276098), 1220 ^ _232055 : [(1221 ^ _232055) ^ [_276246] : [ssList(_276246), -(frontsegP(_275946, _276246)), frontsegP(_275946, _276098), frontsegP(_276098, _276246)]]]]], (1235 ^ _232055) ^ [_276646] : [ssList(_276646), 1238 ^ _232055 : [(1239 ^ _232055) ^ [_276788] : [ssList(_276788), -(_276646 = _276788), frontsegP(_276646, _276788), frontsegP(_276788, _276646)]]], (1253 ^ _232055) ^ [_277167] : [ssList(_277167), -(frontsegP(_277167, _277167))], (1259 ^ _232055) ^ [_277355] : [ssList(_277355), 1262 ^ _232055 : [(1263 ^ _232055) ^ [_277504] : [ssList(_277504), 1266 ^ _232055 : [(1267 ^ _232055) ^ [_277649] : [ssList(_277649), frontsegP(_277355, _277504), -(frontsegP(app(_277355, _277649), _277504))]]]]], (1277 ^ _232055) ^ [_277962] : [ssItem(_277962), 1280 ^ _232055 : [(1281 ^ _232055) ^ [_278130] : [ssItem(_278130), 1284 ^ _232055 : [(1285 ^ _232055) ^ [_278294] : [ssList(_278294), 1288 ^ _232055 : [(1289 ^ _232055) ^ [_278454] : [ssList(_278454), 1292 ^ _232055 : [(1293 ^ _232055) ^ [] : [frontsegP(cons(_277962, _278294), cons(_278130, _278454)), 1296 ^ _232055 : [(1297 ^ _232055) ^ [] : [-(_277962 = _278130)], (1299 ^ _232055) ^ [] : [-(frontsegP(_278294, _278454))]]], (1301 ^ _232055) ^ [] : [-(frontsegP(cons(_277962, _278294), cons(_278130, _278454))), _277962 = _278130, frontsegP(_278294, _278454)]]]]]]]]], (1311 ^ _232055) ^ [_279139] : [ssList(_279139), -(frontsegP(_279139, nil))], (1317 ^ _232055) ^ [_279327] : [ssList(_279327), 1320 ^ _232055 : [(1321 ^ _232055) ^ [] : [frontsegP(nil, _279327), -(nil = _279327)], (1327 ^ _232055) ^ [] : [nil = _279327, -(frontsegP(nil, _279327))]]], (1333 ^ _232055) ^ [_279755] : [ssList(_279755), 1336 ^ _232055 : [(1337 ^ _232055) ^ [_279907] : [ssList(_279907), 1340 ^ _232055 : [(1341 ^ _232055) ^ [_280055] : [ssList(_280055), -(rearsegP(_279755, _280055)), rearsegP(_279755, _279907), rearsegP(_279907, _280055)]]]]], (1355 ^ _232055) ^ [_280455] : [ssList(_280455), 1358 ^ _232055 : [(1359 ^ _232055) ^ [_280597] : [ssList(_280597), -(_280455 = _280597), rearsegP(_280455, _280597), rearsegP(_280597, _280455)]]], (1373 ^ _232055) ^ [_280976] : [ssList(_280976), -(rearsegP(_280976, _280976))], (1379 ^ _232055) ^ [_281164] : [ssList(_281164), 1382 ^ _232055 : [(1383 ^ _232055) ^ [_281313] : [ssList(_281313), 1386 ^ _232055 : [(1387 ^ _232055) ^ [_281458] : [ssList(_281458), rearsegP(_281164, _281313), -(rearsegP(app(_281458, _281164), _281313))]]]]], (1397 ^ _232055) ^ [_281771] : [ssList(_281771), -(rearsegP(_281771, nil))], (1403 ^ _232055) ^ [_281959] : [ssList(_281959), 1406 ^ _232055 : [(1407 ^ _232055) ^ [] : [rearsegP(nil, _281959), -(nil = _281959)], (1413 ^ _232055) ^ [] : [nil = _281959, -(rearsegP(nil, _281959))]]], (1419 ^ _232055) ^ [_282387] : [ssList(_282387), 1422 ^ _232055 : [(1423 ^ _232055) ^ [_282539] : [ssList(_282539), 1426 ^ _232055 : [(1427 ^ _232055) ^ [_282687] : [ssList(_282687), -(segmentP(_282387, _282687)), segmentP(_282387, _282539), segmentP(_282539, _282687)]]]]], (1441 ^ _232055) ^ [_283087] : [ssList(_283087), 1444 ^ _232055 : [(1445 ^ _232055) ^ [_283229] : [ssList(_283229), -(_283087 = _283229), segmentP(_283087, _283229), segmentP(_283229, _283087)]]], (1459 ^ _232055) ^ [_283608] : [ssList(_283608), -(segmentP(_283608, _283608))], (1465 ^ _232055) ^ [_283796] : [ssList(_283796), 1468 ^ _232055 : [(1469 ^ _232055) ^ [_283958] : [ssList(_283958), 1472 ^ _232055 : [(1473 ^ _232055) ^ [_284116] : [ssList(_284116), 1476 ^ _232055 : [(1477 ^ _232055) ^ [_284270] : [ssList(_284270), segmentP(_283796, _283958), -(segmentP(app(app(_284116, _283796), _284270), _283958))]]]]]]], (1487 ^ _232055) ^ [_284606] : [ssList(_284606), -(segmentP(_284606, nil))], (1493 ^ _232055) ^ [_284794] : [ssList(_284794), 1496 ^ _232055 : [(1497 ^ _232055) ^ [] : [segmentP(nil, _284794), -(nil = _284794)], (1503 ^ _232055) ^ [] : [nil = _284794, -(segmentP(nil, _284794))]]], (1509 ^ _232055) ^ [_285222] : [ssItem(_285222), -(cyclefreeP(cons(_285222, nil)))], (1515 ^ _232055) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _232055) ^ [_285467] : [ssItem(_285467), -(totalorderP(cons(_285467, nil)))], (1523 ^ _232055) ^ [] : [-(totalorderP(nil))], (1525 ^ _232055) ^ [_285712] : [ssItem(_285712), -(strictorderP(cons(_285712, nil)))], (1531 ^ _232055) ^ [] : [-(strictorderP(nil))], (1533 ^ _232055) ^ [_285957] : [ssItem(_285957), -(totalorderedP(cons(_285957, nil)))], (1539 ^ _232055) ^ [] : [-(totalorderedP(nil))], (1541 ^ _232055) ^ [_286202] : [ssItem(_286202), 1544 ^ _232055 : [(1545 ^ _232055) ^ [_286361] : [ssList(_286361), 1548 ^ _232055 : [(1549 ^ _232055) ^ [] : [totalorderedP(cons(_286202, _286361)), -(nil = _286361), 1556 ^ _232055 : [(1557 ^ _232055) ^ [] : [nil = _286361], (1559 ^ _232055) ^ [] : [-(totalorderedP(_286361))], (1561 ^ _232055) ^ [] : [-(leq(_286202, hd(_286361)))]]], (1563 ^ _232055) ^ [] : [-(totalorderedP(cons(_286202, _286361))), 1564 ^ _232055 : [(1565 ^ _232055) ^ [] : [nil = _286361], (1567 ^ _232055) ^ [] : [-(nil = _286361), totalorderedP(_286361), leq(_286202, hd(_286361))]]]]]]], (1579 ^ _232055) ^ [_287296] : [ssItem(_287296), -(strictorderedP(cons(_287296, nil)))], (1585 ^ _232055) ^ [] : [-(strictorderedP(nil))], (1587 ^ _232055) ^ [_287541] : [ssItem(_287541), 1590 ^ _232055 : [(1591 ^ _232055) ^ [_287700] : [ssList(_287700), 1594 ^ _232055 : [(1595 ^ _232055) ^ [] : [strictorderedP(cons(_287541, _287700)), -(nil = _287700), 1602 ^ _232055 : [(1603 ^ _232055) ^ [] : [nil = _287700], (1605 ^ _232055) ^ [] : [-(strictorderedP(_287700))], (1607 ^ _232055) ^ [] : [-(lt(_287541, hd(_287700)))]]], (1609 ^ _232055) ^ [] : [-(strictorderedP(cons(_287541, _287700))), 1610 ^ _232055 : [(1611 ^ _232055) ^ [] : [nil = _287700], (1613 ^ _232055) ^ [] : [-(nil = _287700), strictorderedP(_287700), lt(_287541, hd(_287700))]]]]]]], (1625 ^ _232055) ^ [_288635] : [ssItem(_288635), -(duplicatefreeP(cons(_288635, nil)))], (1631 ^ _232055) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _232055) ^ [_288880] : [ssItem(_288880), -(equalelemsP(cons(_288880, nil)))], (1639 ^ _232055) ^ [] : [-(equalelemsP(nil))], (1641 ^ _232055) ^ [_289125] : [ssList(_289125), -(nil = _289125), 1649 ^ _232055 : [(1650 ^ _232055) ^ [] : [-(ssItem(1648 ^ [_289125]))], (1652 ^ _232055) ^ [] : [-(hd(_289125) = 1648 ^ [_289125])]]], (1654 ^ _232055) ^ [_289539] : [ssList(_289539), -(nil = _289539), 1662 ^ _232055 : [(1663 ^ _232055) ^ [] : [-(ssList(1661 ^ [_289539]))], (1665 ^ _232055) ^ [] : [-(tl(_289539) = 1661 ^ [_289539])]]], (1667 ^ _232055) ^ [_289953] : [ssList(_289953), 1670 ^ _232055 : [(1671 ^ _232055) ^ [_290119] : [ssList(_290119), -(_290119 = _289953), -(nil = _290119), -(nil = _289953), hd(_290119) = hd(_289953), tl(_290119) = tl(_289953)]]], (1693 ^ _232055) ^ [_290698] : [ssList(_290698), -(nil = _290698), -(cons(hd(_290698), tl(_290698)) = _290698)], (1703 ^ _232055) ^ [_290988] : [ssList(_290988), 1706 ^ _232055 : [(1707 ^ _232055) ^ [_291140] : [ssList(_291140), 1710 ^ _232055 : [(1711 ^ _232055) ^ [_291288] : [ssList(_291288), app(_291288, _291140) = app(_290988, _291140), -(_291288 = _290988)]]]]], (1721 ^ _232055) ^ [_291607] : [ssList(_291607), 1724 ^ _232055 : [(1725 ^ _232055) ^ [_291759] : [ssList(_291759), 1728 ^ _232055 : [(1729 ^ _232055) ^ [_291907] : [ssList(_291907), app(_291759, _291907) = app(_291759, _291607), -(_291907 = _291607)]]]]], (1739 ^ _232055) ^ [_292226] : [ssList(_292226), 1742 ^ _232055 : [(1743 ^ _232055) ^ [_292365] : [ssItem(_292365), -(cons(_292365, _292226) = app(cons(_292365, nil), _292226))]]], (1749 ^ _232055) ^ [_292584] : [ssList(_292584), 1752 ^ _232055 : [(1753 ^ _232055) ^ [_292736] : [ssList(_292736), 1756 ^ _232055 : [(1757 ^ _232055) ^ [_292884] : [ssList(_292884), -(app(app(_292584, _292736), _292884) = app(_292584, app(_292736, _292884)))]]]]], (1763 ^ _232055) ^ [_293122] : [ssList(_293122), 1766 ^ _232055 : [(1767 ^ _232055) ^ [_293267] : [ssList(_293267), 1770 ^ _232055 : [(1771 ^ _232055) ^ [] : [nil = app(_293122, _293267), 1774 ^ _232055 : [(1775 ^ _232055) ^ [] : [-(nil = _293267)], (1777 ^ _232055) ^ [] : [-(nil = _293122)]]], (1779 ^ _232055) ^ [] : [-(nil = app(_293122, _293267)), nil = _293267, nil = _293122]]]]], (1789 ^ _232055) ^ [_293885] : [ssList(_293885), -(app(_293885, nil) = _293885)], (1795 ^ _232055) ^ [_294079] : [ssList(_294079), 1798 ^ _232055 : [(1799 ^ _232055) ^ [_294224] : [ssList(_294224), -(nil = _294079), -(hd(app(_294079, _294224)) = hd(_294079))]]], (1809 ^ _232055) ^ [_294531] : [ssList(_294531), 1812 ^ _232055 : [(1813 ^ _232055) ^ [_294679] : [ssList(_294679), -(nil = _294531), -(tl(app(_294531, _294679)) = app(tl(_294531), _294679))]]], (1823 ^ _232055) ^ [_294992] : [ssItem(_294992), 1826 ^ _232055 : [(1827 ^ _232055) ^ [_295134] : [ssItem(_295134), -(_294992 = _295134), geq(_294992, _295134), geq(_295134, _294992)]]], (1841 ^ _232055) ^ [_295513] : [ssItem(_295513), 1844 ^ _232055 : [(1845 ^ _232055) ^ [_295665] : [ssItem(_295665), 1848 ^ _232055 : [(1849 ^ _232055) ^ [_295813] : [ssItem(_295813), -(geq(_295513, _295813)), geq(_295513, _295665), geq(_295665, _295813)]]]]], (1863 ^ _232055) ^ [_296213] : [ssItem(_296213), -(geq(_296213, _296213))], (1869 ^ _232055) ^ [_296401] : [ssItem(_296401), lt(_296401, _296401)], (1875 ^ _232055) ^ [_296590] : [ssItem(_296590), 1878 ^ _232055 : [(1879 ^ _232055) ^ [_296742] : [ssItem(_296742), 1882 ^ _232055 : [(1883 ^ _232055) ^ [_296890] : [ssItem(_296890), -(lt(_296590, _296890)), leq(_296590, _296742), lt(_296742, _296890)]]]]], (1897 ^ _232055) ^ [_297290] : [ssItem(_297290), 1900 ^ _232055 : [(1901 ^ _232055) ^ [_297432] : [ssItem(_297432), leq(_297290, _297432), -(_297290 = _297432), -(lt(_297290, _297432))]]], (1915 ^ _232055) ^ [_297812] : [ssItem(_297812), 1918 ^ _232055 : [(1919 ^ _232055) ^ [_297956] : [ssItem(_297956), 1922 ^ _232055 : [(1923 ^ _232055) ^ [] : [lt(_297812, _297956), 1926 ^ _232055 : [(1927 ^ _232055) ^ [] : [_297812 = _297956], (1929 ^ _232055) ^ [] : [-(leq(_297812, _297956))]]], (1931 ^ _232055) ^ [] : [-(lt(_297812, _297956)), -(_297812 = _297956), leq(_297812, _297956)]]]]], (1941 ^ _232055) ^ [_298567] : [ssItem(_298567), 1944 ^ _232055 : [(1945 ^ _232055) ^ [_298705] : [ssItem(_298705), gt(_298567, _298705), gt(_298705, _298567)]]], (1955 ^ _232055) ^ [_298976] : [ssItem(_298976), 1958 ^ _232055 : [(1959 ^ _232055) ^ [_299128] : [ssItem(_299128), 1962 ^ _232055 : [(1963 ^ _232055) ^ [_299276] : [ssItem(_299276), -(gt(_298976, _299276)), gt(_298976, _299128), gt(_299128, _299276)]]]]]], input).
% 11.82/11.75 ncf('1',plain,[rearsegP(1979 ^ [], 1976 ^ [])],start(1993 ^ 0)).
% 11.82/11.75 ncf('1.1',plain,[-(rearsegP(1979 ^ [], 1976 ^ [])), rearsegP(1985 ^ [], 1982 ^ []), 1985 ^ [] = 1979 ^ [], 1982 ^ [] = 1976 ^ []],extension(232 ^ 1,bind([[_239333, _239335, _239337, _239339], [1976 ^ [], 1982 ^ [], 1979 ^ [], 1985 ^ []]]))).
% 11.82/11.75 ncf('1.1.1',plain,[-(rearsegP(1985 ^ [], 1982 ^ [])), 1997 : -(nil = 1985 ^ [])],extension(1995 ^ 2)).
% 11.82/11.75 ncf('1.1.1.1',plain,[nil = 1985 ^ [], -(rearsegP(1985 ^ [], 1982 ^ [])), rearsegP(nil, nil), nil = 1982 ^ []],extension(232 ^ 5,bind([[_239333, _239335, _239337, _239339], [1982 ^ [], nil, 1985 ^ [], nil]]))).
% 11.82/11.75 ncf('1.1.1.1.1',plain,[rearsegP(1985 ^ [], 1982 ^ [])],reduction('1.1')).
% 11.82/11.75 ncf('1.1.1.1.2',plain,[-(rearsegP(nil, nil)), ssList(nil)],extension(1373 ^ 6,bind([[_280976], [nil]]))).
% 11.82/11.75 ncf('1.1.1.1.2.1',plain,[-(ssList(nil))],extension(891 ^ 7)).
% 11.82/11.75 ncf('1.1.1.1.3',plain,[-(nil = 1982 ^ [])],extension(1999 ^ 6)).
% 11.82/11.75 ncf('1.1.2',plain,[-(1985 ^ [] = 1979 ^ []), 1979 ^ [] = 1985 ^ []],extension(4 ^ 2,bind([[_232306, _232308], [1985 ^ [], 1979 ^ []]]))).
% 11.82/11.75 ncf('1.1.2.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 3)).
% 11.82/11.75 ncf('1.1.3',plain,[-(1982 ^ [] = 1976 ^ []), 1976 ^ [] = 1982 ^ []],extension(4 ^ 2,bind([[_232306, _232308], [1982 ^ [], 1976 ^ []]]))).
% 11.82/11.75 ncf('1.1.3.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 3)).
% 11.82/11.75 %-----------------------------------------------------
% 11.82/11.75 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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